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For the multiple regression model Y=40,000+15000X 1 + 200X 2 , where Y is future

ID: 3183657 • Letter: F

Question

For the multiple regression model Y=40,000+15000X1 + 200X2, where Y is future income, X1 is a dummy variable representing whether or not either or both parents attended college (if yes, it takes the value of 1, and 0 if not), and X2 represents years of secondary schooling of the individual.

What is the expected income of an individual whose mother, but not father, attended college, and who themselves have 5 years of secondary schooling?

50,000

70,000

65,000

Cannot be determined.

50,000

70,000

65,000

Cannot be determined.

Explanation / Answer

The correct answer is C . 65000

Calculations:

X2 = 5 from the data

X1 = 1 since the mother attended college

Hence, the answer is 40000+ 15000*1 + 2000*5 = 65000